On fuzzy input data and the worst scenario method

Jan Chleboun

Displaying similar documents to “On fuzzy input data and the worst scenario method”

The study on semicopula based implications

Zuming Peng (2020)

Kybernetika

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Recently, Baczyński et al. (2017) proposed a new family of implication operators called semicopula based implications, which combines a given a priori fuzzy implication and a semicopula. In this paper, firstly, the relationship between the basic properties of the priori fuzzy implication and the semicopula based implication are analyzed. Secondly, the conditions such that the semicopula based implication is a fuzzy implication are studied, the study is carried out mainly in the case...

The convergence of the core of a fuzzy exchange economy

Xia Zhang, Hao Sun, Moses Olabhele Esangbedo, Xuanzhu Jin (2021)

Kybernetika

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This paper focuses on a new model called fuzzy exchange economy (FXE), which integrates fuzzy consumption, fuzzy initial endowment and the agent’s fuzzy preference (vague attitude) in the fuzzy consumption set. Also, the existence of the fuzzy competitive equilibrium for the FXE is verified through a related pure exchange economy. We define a core-like concept (called weak fuzzy core) of the FXE and prove that any fuzzy competitive allocation belongs to the weak fuzzy core. The fuzzy...

Characterizations of sub-semihypergroups by various triangular norms

B. Davvaz (2005)

Czechoslovak Mathematical Journal

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We investigate the structure and properties of $T L$ -sub-semihypergroups, where $T$ is an arbitrary triangular norm on a given complete lattice $L$ . We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider $L = [0, 1]$ and $T = min$ , and investigate the connection between $T L$ -sub-semihypergroups and the probability space.

Preservation of properties of fuzzy relations during aggregation processes

Józef Drewniak, Urszula Dudziak (2007)

Kybernetika

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Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by $n$ -ary operations is considered. Namely, with the use of fuzzy relations $R_{1}, ..., R_{n}$ and $n$ -argument operation $F$ on the interval $[0, 1]$ , a new fuzzy relation $R_{F} = F (R_{1}, ..., R_{n})$ is created....